cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A383012 a(n) = Sum_{d|n} mu(n/d) * (-n)^(d-1).

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%I A383012 #11 Apr 12 2025 09:37:48
%S A383012 1,-3,8,-60,624,-7805,117648,-2096640,43046640,-1000009989,
%T A383012 25937424600,-743008120140,23298085122480,-793714780783665,
%U A383012 29192926025339776,-1152921504338411520,48661191875666868480,-2185911559749714602652,104127350297911241532840
%N A383012 a(n) = Sum_{d|n} mu(n/d) * (-n)^(d-1).
%F A383012 a(n) = [x^n] Sum_{k>=1} mu(k) * log(1 + n*x^k) / k.
%F A383012 a(n) = [x^n] Sum_{k>=1} mu(k) * x^k / (1 + n*x^k).
%o A383012 (PARI) a(n) = sumdiv(n, d, moebius(n/d)*(-n)^(d-1));
%Y A383012 Main diagonal of A383011.
%Y A383012 Cf. A008683, A075147, A382998, A383003.
%K A383012 sign
%O A383012 1,2
%A A383012 _Seiichi Manyama_, Apr 12 2025